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ella [17]
2 years ago
15

/2 }" alt="\frac{3/7}{7\sqrt{10}/2 }" align="absmiddle" class="latex-formula">How do I simplify this problem? I have radical in the denominator and a fraction in the numerator.
Mathematics
1 answer:
VashaNatasha [74]2 years ago
8 0

Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}

Rationalize the denominator by multiplying both numerator and denominator by √10:

\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}

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Select the correct answer.
Serjik [45]

Answer:

A . (2,4)

Step-by-step explanation:

Let's solve for x.

x+2y≤4

Step 1: Add -2y to both sides.

x+2y+−2y≤4+−2y

x≤−2y+4

Answer:

x≤−<u>2</u>y+<u>4</u>

5 0
3 years ago
Sam put a 12-inch ruler into a cup. If 3 inches of the ruler were sticking out of the top of the cup, how deep was the cup?
Goryan [66]

Answer:

9 inches deep

Step-by-step explanation:

12 inches - 3 inches = 9 inches

8 0
3 years ago
The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 se
kakasveta [241]
Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14


x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea



6 0
3 years ago
PLEASE HELP PLEASE WILL GIVE BRAINLIEST !!!!! Freya is training for a track race. She starts by sprinting 200 yards. She gradual
DedPeter [7]

Answer:

A. a_n=200+(n-1)5

Step-by-step explanation:

Given,

The initial sprinting of Freya = 200 yards,

Also,  She gradually increases her distance by 5 yards per day,

So, in second day her sprinting = 200 + 5 = 205 yards,

In third day = 205 + 5 = 210 yards,

In fourth day = 210 + 5 = 215 yards,

....................,  so on,.....

Hence, the sequence that shows the given situation,

200, 205, 210, 215, .........

Which is an A.P.

That having first term, a = 200,

Common difference, d = 5,

Thus, the explicit formula for the given situation is,

a_n=a+(n-1)d

\implies a_n=200+(n-1)5

Option A is correct.

7 0
3 years ago
Read 2 more answers
???????????????????????????? Please answer ASAP. Very much appreciated. ❤️❤️❤️❤️
tankabanditka [31]
She needs to earn at least 84 to buy the mp3 player

earnings=earningsperhour times numberofhoursworked

earnings per hour=12 dollars
number of hoursworked=h

therefor
earnings=12 ties h or12h

earnings is at least 84
earnings is greater than or equal to 84
earnings<u>></u>84
12h<u>></u>84

solve
12h<u>></u>84
divide both sides by 12
h<u>></u>7
she needs to work at least 7 hours

to graph, draw a line at x=0 and shade to the right, make the line solid
3 0
3 years ago
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